Question

The time needed to travel a certain distance varies inverselywith the rate of speed. If it takes 8 hours to travel a certaindistance at 36 miles per hour, how long will it take to travel thesame distance at 60 miles per hour?3What equation rule represents the situation?

Answer 1

We have the following proportion:

$\frac{8}{36}=\frac{x}{60}$

solving for x:

$\begin{gathered} \frac{8}{36}=\frac{x}{60} \\ x=\frac{60\cdot8}{36} \\ x=13.3 \end{gathered}$

therefore, the trip will take a total of 13.3 hours